16Hit1600
Advanced MathEasyCounting x-intercepts of a parabola above the axis

Advanced Math practice question

In the xy-plane, at how many points does the graph of y = x² + 4 cross the x-axis?

Answer: 0

x² is never negative, so x² + 4 is always at least 4 and never 0. The graph never reaches the x-axis.

Common wrong answers

If you answered 1
1 would need the vertex to touch the axis, but the vertex is at (0, 4).
If you answered 2
2 would be right for y = x² − 4, which crosses at x = ±2.
If you answered 4
4 is the y-intercept, not a count of crossings.

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